Question

Answer this Immediately!!​

Answer 1

Step-by-step explanation:

▪️Since XOY is a straight line.

▪️∴ b+a+∠POY= 180°

▪️But ∠POY = 90° [Given]

▪️∴ b + a = 180° – 90° = 90° …(i)

▪️Also a : b = 2 : 3 ⇒ b =  …(ii)

▪️Now from (i) and (ii), we get

 ▪️+ A = 90°

▪️⇒  = 90°

▪️⇒ a =  = 36°

▪️From (ii), we get

▪️b =  x 36° = 54°

▪️Since XY and MN interstect at O,

▪️∴ c = [a + ∠POY] [Vertically opposite angles]

or c = 36° + 90° = 126°

Thus, the required measure of c = 126°.

Hopes it you✌️✌️

Answer 2

Step-by-step explanation:

angle POY=90° , a:b = 2:3 find c.

angle XOY= 180

angles POY + POX = 180°

90° + angle POX = 180

angle POX = 180-90= 90°

let a= 2x,b= 3x

angle POX = a+b

therefore 90 = 2x+3x

therefore 5x = 90

x= 90/5 = 18°

a= 2x= 2× 18 = 36°

b= 3x= 3× 18 = 54°

b+c = 180 ( because linear pair)

54 + c = 180°

therefore c = 180-54

c = 126° ANS